86318496 has 108 divisors (see below), whose sum is σ = 269921106. Its totient is φ = 26146560.

The previous prime is 86318483. The next prime is 86318509. The reversal of 86318496 is 69481368.

86318496 is a `hidden beast` number, since 8 + 631 + 8 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86318483) and next prime (86318509).

It can be written as a sum of positive squares in only one way, i.e., 73616400 + 12702096 = 8580^2 + 3564^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33610 + ... + 36086.

Almost surely, 2^86318496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86318496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134960553).

86318496 is an abundant number, since it is smaller than the sum of its proper divisors (183602610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86318496 is a wasteful number, since it uses less digits than its factorization.

86318496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2493 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86318496 is about 9290.7747793174. The cubic root of 86318496 is about 441.9447253142.

The spelling of 86318496 in words is "eighty-six million, three hundred eighteen thousand, four hundred ninety-six".